Question

Which of the following is a polynomial? Give reason for your answer. (a) y3 + 3√x b) x-2 + x-1 + 3 (c) 3x - √5 (d) √2 3 x + 5x2​

Answer 1

Answer:

all are polynomials except a ie

$3y + 3 \sqrt{x}$

Step-by-step explanation:

a)

$3y + 3 \sqrt{x}$

No, it is not a polynomial as in this case the power of the variable is 1/2 but in a polynomial, the power of the variable is always a non-negative integer.

$3y + 3 \sqrt{x} = > 3y + 3{x}^{ \frac{1}{2} }$

b)

$x - 2 + x - 1 + 3 = > 2x$

Yes as the power of the variable, in this case, is 1 which is a non-negative integer.

c)

$3x - \sqrt{5}$

Yes as the power of the variable, in this case, is 1 which is a non-negative integer.

d)

$3\sqrt{2} x + 5x2 = > 3 \sqrt{2} x + 10x$

Yes as the power of the variable, in this case, is 1 which is a non-negative integer.